Summary: Quarantine in a multi-species epidemic model
with spatial dynamics
Julien Arino a,*, Richard Jordan b
, P. van den Driessche c
Department of Mathematics and Statistics, McMaster University, Hamilton, ON, Canada L8S 4K7
Department of Mathematics and Statistics, Mount Holyoke College, South Hadley, MA 01075, USA
Department of Mathematics and Statistics, University of Victoria, Victoria, BC, Canada V8W 3P4
Received 31 March 2004; received in revised form 17 August 2005; accepted 15 September 2005
Available online 15 December 2005
Motivation is provided for the development of infectious disease models that incorporate the movement
of individuals over a range of spatial scales. A general model is formulated for a disease that can be trans-
mitted between different species and multiple patches, and the behavior of the system is investigated in the
case in which the spatial component consists of a ring of patches. The influence of various parameters on
the spatial and temporal spread of the disease is studied numerically, with particular focus on the role of
quarantine in the form of travel restriction.
Ó 2005 Elsevier Inc. All rights reserved.